Let the number of female workers in both companies be $10x$. For Company A, the number of male workers is $\frac{13}{10} \times 10x = 13x$, making the total $23x$. For Company B, the number of male workers is $\frac{7}{5} \times 10x = 14x$, giving a total of $24x$. The ratio of total workers in A to B is thus $23x : 24x = 23 : 24$.